Consider an n-dimensional real Euclidean space ℝ n , n ≥ 1. Assume that a rectangular coordinate system with origin at some point O is set up in ℝ n , so that the coordinates of any point P ∈ ℝ n are x l,…, x n. For simplicity we shall represent the point P by the vector x = (x 1 ,…,x n ). The origin O is then represented by the zero-vector 0 = (0,…,0).
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